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Pith Number

pith:GJIIORM7

pith:2012:GJIIORM73VPXO65BUIIOWDDPIY
not attested not anchored not stored refs pending

When the Cut Condition is Enough: A Complete Characterization for Multiflow Problems in Series-Parallel Networks

Amit Chakrabarti, Christophe Weibel, Lisa Fleischer

arxiv:1203.4041 v1 · 2012-03-19 · cs.DM · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GJIIORM73VPXO65BUIIOWDDPIY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T03:59:48.432742Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

325087459fdd5f777ba1a210eb0c6f46045402c8a46d09d5bcd4981570059f49

Aliases

arxiv: 1203.4041 · arxiv_version: 1203.4041v1 · doi: 10.48550/arxiv.1203.4041 · pith_short_12: GJIIORM73VPX · pith_short_16: GJIIORM73VPXO65B · pith_short_8: GJIIORM7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GJIIORM73VPXO65BUIIOWDDPIY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 325087459fdd5f777ba1a210eb0c6f46045402c8a46d09d5bcd4981570059f49
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "93f61d1d8c77e132951d00854c9e6292f3ce881d6df66572f834d5b591d1096c",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-03-19T06:25:33Z",
    "title_canon_sha256": "896deaae046956201f45ec9b8b4ff9ea9caa34cbb3e6ffd6898cf467608832b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4041",
    "kind": "arxiv",
    "version": 1
  }
}